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Finding the Fourth Proportional to 36,113.53, 49,841.37 and 20,201.28

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Solution

The fourth proportional to 36,113.53, 49,841.37 and 20,201.28 is: 27,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,113.53 : 49,841.37 = 20,201.28 : x
  2. Step 2: Convert to fraction form
    36,113.53/49,841.37 = 20,201.28/x
  3. Step 3: Cross multiply
    36,113.53x = 49,841.37 × 20,201.28
  4. Step 4: Simplify right side
    36,113.53x = 1,006,859,470.95
  5. Step 5: Solve for x
    x = 1,006,859,470.95/36,113.53
  6. Step 6: Final answer
    x = 27,880.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.